Finally, we have by [1]}, [2]} for \(d < k^{\alpha }\)  with \(\alpha <2\)  that for any \(\varepsilon >0\)  there is \(K>0\)  such that for \(k>K\)  and all \(z \in [-1,1]\)
\( \left|\frac{\prod _{l \ne j} (z-\cos (2\pi \vartheta _l)) }{\prod _{l \ne j} (\cos (2\pi \vartheta _j)-\cos (2\pi \vartheta _l))}\right|\le e^{k \varepsilon }.\) 
